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andrew11 [14]
4 years ago
12

What is the first year after 2018 that is a palindrome?

Mathematics
1 answer:
blondinia [14]4 years ago
7 0
So a palindrome is a word or number that spells the same thing forwards and backward (e.g. tacocat, racecar, 101, 262) Palindrome years occur every 110 years (except at the end of the millennium, in which it is only 11 years). The last one happened in 2002, so the next one won't occur until 2112. Maybe some of us will live to see it!
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Answer:

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Step-by-step explanation:

Here we are using power rule first.

Power rule = The logarithm of an exponential number is the exponent times the logarithm of the base [log(a)^{b}=b\times log(a)].

For the function given.

3^{(x-8)} = 8,using log function both sides.

(x-8)log(3)=log(8)

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(x-8)=\frac{log(8)}{log(3)}

Adding 8 both sides.

x=\frac{log(8)}{log(2)} +8

And we know that 8=2^{3} so we can further write log(8)=log(2^{3})=3log(2)

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Now, using change of base formula:

\frac{\log y}{\log b}=\log_b y

So, \frac{\log 2}{\log 3}=\log_3 2

Our final answer is  x=3\log_3 (2) +8.

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